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denis23 [38]
3 years ago
14

Asked what the central limit theorem says, a student replies, As you take larger and larger samples from a population, the histo

gram of the sample values looks more and more Normal.
Is the student right?

A. No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.
B. Yes. This is exactly what the theorem says
Mathematics
1 answer:
Arada [10]3 years ago
5 0

Answer:

A. No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.

Step-by-step explanation:

No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. The central limit theorem says that if we take a large sample (i.e., a sample of size n > 30) of any distribution with finite mean \mu and standard deviation \sigma, then, the sample average is approximately normally distributed  with mean \mu and variance \sigma^2/n.

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Which of the following has a constant of proportionality of 2? A) y = 2x B) y = x + 2 C) 2y = x D) y + 2 = 2x
Setler [38]

The correct answer is A.


You have direct variation if x and y are modeled by the equation


y = mx


In this case, m is the constant of proportionality. So, if the constant has to be 2, the equation becomes


y = 2x


A side note: Actually, option C has a constant of proportionality of two as well, except the roles of x and y are interchanged. I chose option A because usually you want the y = mx form, but the names of the variables are obviously meaningless.

5 0
3 years ago
Read 2 more answers
(4, -2), y = –2x + 3<br><br> PLS HELP HOW DO I DO THIS?
Alex787 [66]

It looks like your instructor wants you to write in point-slope form.

the equation for point slope form is quite simple

y-y1=m(x-x1)

your variables:

y and x: just state these as they are

m: slope

y1 and x1: the numbers in the point given

keep in mind a double negative equals a positive, so when you come across a negative coordinate you would put + instead of - in your equation.

your final answer would be

y+2=-2(x-4)

I hope this helped :)

please don't hesitate to ask if you have any more questions

3 0
2 years ago
5 times what equals 8
nadezda [96]

Answer:

1.6

Step-by-step explanation:

8/5=1.6

1.6 x 5 = 8

7 0
3 years ago
In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volum
GaryK [48]

Answer:

The required volume is 5 ml.

Step-by-step explanation:

Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.

To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?

Solution :

According to question we use the formula,

\text{Present Volume}=\dfrac{\text{Vol}_{\text{Alcohol}}}{\text{Vol}_{\text{total}}}\times 100\%

The percentage of a blood alcohol level is 0.100%

The total volume of the blood is V=5L=5000 ml.

Substitute the value in the formula,

0.100=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}\times 100

\frac{0.100}{100}=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}

\text{Vol}_{\text{Alcohol}}=\frac{0.100\times 5000}{100}

\text{Vol}_{\text{Alcohol}}=5

Therefore, the required volume is 5 ml.

8 0
3 years ago
I just need help on number 14. Thank you very much.
lisabon 2012 [21]

I believe you only need to know one angle.

For example, if you know angle 1, you can calculate angle 3. Angle 2 = angle 3 and angle 4 = angle 1.

Also, Angle 5= angle 1 and so on...

4 0
3 years ago
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